ALGRZ.MATH.2.B
Classify a function as linear, quadratic, cubic, and exponential when a function is represented tabularly using finite differences or common ratios as appropriate.
Algebraic Reasoning · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
functionlinear functionquadratic functioncubic functionexponential functiontabular representationfinite differencescommon ratios
Skills
- classify (functions as linear, quadratic, cubic, or exponential from a table) #dok2
- interpret (finite differences and common ratios in tables) #dok2
- analyze (tabular representations to recognize function types) #dok2
- distinguish (between patterns for different types of functions) #dok2
Learning Targets
- I can identify a function as linear, quadratic, cubic, or exponential using patterns in a table of values. #dok2
- I can analyze a table of values to determine if the function shown matches linear, quadratic, cubic, or exponential models. #dok2
- I can justify my reasoning using finite differences or common ratios from tabular data. #dok3
Big Ideas
- Different types of functions—linear, quadratic, cubic, and exponential—can be identified by unique patterns in their tabular representations.
- Finite differences and common ratios are essential tools for determining function types from tabular data.
Essential Questions
- How can you determine the type of function represented by a table of values?
- What do finite differences and common ratios reveal about the nature of a function?
- Why is it important to classify functions using tabular data?
- How do the patterns of linear, quadratic, cubic, and exponential functions differ in tables?
- What strategies can you use to verify your classification of a function from data?